TY - JOUR
T1 - Application of the extended boundary condition method to particles with sharp edges
T2 - A comparison of two surface integration approaches
AU - Kahnert, F. Michael
AU - Stamnes, Jakob J.
AU - Stamnes, Knut
PY - 2001/6/20
Y1 - 2001/6/20
N2 - We discuss, test, and compare two surface integration approaches that have been proposed for applying the extended boundary condition method (EBCM) to particles with sharp edges. One is based on approximating surface parameterization by a smooth function. By investigating the accuracy of this approach we find a quantitative condition for the radius of curvature of the approximate particle surface at the edge. The second approach is based on a special quadrature scheme for performing surface integration in the EBCM. For the simple test case of a cubic particle we find that the numerical advantages of the second method outweigh those of the first method, resulting in an overall reduction of computation time by a factor of 2. We conclude that the second method is preferable to the first when one is dealing with regularly shaped particles, for which the special quadrature scheme is reasonably simple to implement, and with particles with a relatively small number of sharp edges.
AB - We discuss, test, and compare two surface integration approaches that have been proposed for applying the extended boundary condition method (EBCM) to particles with sharp edges. One is based on approximating surface parameterization by a smooth function. By investigating the accuracy of this approach we find a quantitative condition for the radius of curvature of the approximate particle surface at the edge. The second approach is based on a special quadrature scheme for performing surface integration in the EBCM. For the simple test case of a cubic particle we find that the numerical advantages of the second method outweigh those of the first method, resulting in an overall reduction of computation time by a factor of 2. We conclude that the second method is preferable to the first when one is dealing with regularly shaped particles, for which the special quadrature scheme is reasonably simple to implement, and with particles with a relatively small number of sharp edges.
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U2 - 10.1364/AO.40.003101
DO - 10.1364/AO.40.003101
M3 - Article
AN - SCOPUS:0005385122
SN - 1559-128X
VL - 40
SP - 3101
EP - 3109
JO - Applied Optics
JF - Applied Optics
IS - 18
ER -